Write four solutions for the following equation: $2x + 5y = 20$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
Given equation: $2x + 5y = 20$.
Rearranging for $y$: $5y = 20 - 2x$,which gives $y = \frac{20 - 2x}{5}$.
$1$. If $x = 0$,then $y = \frac{20 - 2(0)}{5} = \frac{20}{5} = 4$. So,$(0, 4)$ is a solution.
$2$. If $x = 5$,then $y = \frac{20 - 2(5)}{5} = \frac{10}{5} = 2$. So,$(5, 2)$ is a solution.
$3$. If $x = -5$,then $y = \frac{20 - 2(-5)}{5} = \frac{30}{5} = 6$. So,$(-5, 6)$ is a solution.
$4$. If $x = 10$,then $y = \frac{20 - 2(10)}{5} = \frac{0}{5} = 0$. So,$(10, 0)$ is a solution.
Thus,four solutions of the given equation are $(0, 4), (5, 2), (-5, 6),$ and $(10, 0)$.

Explore More

Similar Questions

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$2y - 3x = 14$

Solve the equation $2y + 1 = y + 4$ and represent the solution$(s)$ on $(1)$ the number line $(2)$ the Cartesian plane.

Any point on the line $y=x$ is of the form

The graph of the equation $2x + y = 10$ intersects the $x$-axis at the point $\ldots \ldots . .$

The graph of the linear equation $2x + 3y = 6$ cuts the $y$-axis at the point:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo